Calculate the torque on a coil in a motor of length 0.2m and a width of 0.1m which carries a current of 5A placed in a magnetic field of 0.5T and has 1 turn.
To calculate the torque on a coil in a motor, we can use the following formula:
Torque = magnetic field strength (B) * current (I) * area (A) * number of turns (N)
Given:
Length (L) = 0.2 m
Width (W) = 0.1 m
Current (I) = 5 A
Magnetic field strength (B) = 0.5 T
Number of turns (N) = 1
To find the area (A) of the coil, we can use the formula:
Area (A) = Length (L) * Width (W)
Substituting the given values:
Area (A) = 0.2 m * 0.1 m
Area (A) = 0.02 square meters
Now, we can substitute the values into the torque formula:
Torque = 0.5 T * 5 A * 0.02 square meters * 1
Torque = 0.05 Newton-meters (N⋅m)
Therefore, the torque on the coil in the motor is 0.05 N⋅m.